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Finding the Fourth Proportional to 507,894.84, 700,901.10 and 293,079.60

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Solution

The fourth proportional to 507,894.84, 700,901.10 and 293,079.60 is: 404,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,894.84 : 700,901.10 = 293,079.60 : x
  2. Step 2: Convert to fraction form
    507,894.84/700,901.10 = 293,079.60/x
  3. Step 3: Cross multiply
    507,894.84x = 700,901.10 × 293,079.60
  4. Step 4: Simplify right side
    507,894.84x = 205,419,814,027.56
  5. Step 5: Solve for x
    x = 205,419,814,027.56/507,894.84
  6. Step 6: Final answer
    x = 404,453.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.